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            The Magic Angles of Projectile Motion
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 | Organization:  | The Pennsylvania State University |  
 | Department:  | Department of Physics |  
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 | Mathematica in Education and Research |  
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            Mathematica is used to express the length of a projectile's trajectory in a vacuum as a function of the area it encompasses. The author shows that independent of kinematics, there is a unique pair of initial angles, 38.82º and 78.18º, resulting in two different parabolas identical in length and encompassing the same areas.
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  | sarafianAngles.nb (454.2 KB) - Mathematica Notebook  |  
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